Search a number
-
+
58945128 = 23311223277
BaseRepresentation
bin1110000011011…
…0111001101000
311002220201111220
43200312321220
5110042221003
65503222040
71314011454
oct340667150
9132821456
1058945128
1130300390
12178a7920
13c29aa98
147b85664
155295353
hex3836e68

58945128 has 32 divisors (see below), whose sum is σ = 160760160. Its totient is φ = 17862080.

The previous prime is 58945127. The next prime is 58945141. The reversal of 58945128 is 82154985.

It is a happy number.

58945128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×589451282 = 6949056229872768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58945128.

It is not an unprimeable number, because it can be changed into a prime (58945127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111375 + ... + 111902.

It is an arithmetic number, because the mean of its divisors is an integer number (5023755).

Almost surely, 258945128 is an apocalyptic number.

It is an amenable number.

58945128 is an abundant number, since it is smaller than the sum of its proper divisors (101815032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58945128 is a wasteful number, since it uses less digits than its factorization.

58945128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223297 (or 223293 counting only the distinct ones).

The product of its digits is 115200, while the sum is 42.

The square root of 58945128 is about 7677.5730540321. The cubic root of 58945128 is about 389.1789168658.

The spelling of 58945128 in words is "fifty-eight million, nine hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 223277 446554 669831 893108 1339662 1786216 2456047 2679324 4912094 5358648 7368141 9824188 14736282 19648376 29472564 58945128